490961520 has 320 divisors, whose sum is σ = 2035584000. Its totient is φ = 106251264.

The previous prime is 490961509. The next prime is 490961533. The reversal of 490961520 is 25169094.

490961520 is a `hidden beast` number, since 49 + 0 + 96 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286426 + ... + 288134.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^490961520 is an apocalyptic number.

490961520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490961520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017792000).

490961520 is an abundant number, since it is smaller than the sum of its proper divisors (1544622480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

490961520 is a wasteful number, since it uses less digits than its factorization.

490961520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 490961520 is about 22157.6515001026. The cubic root of 490961520 is about 788.8888507424. Note that the first 4 decimals are identical.

The spelling of 490961520 in words is "four hundred ninety million, nine hundred sixty-one thousand, five hundred twenty".